Suppose persons A and B have Cobb-Douglas preferences yielding the following individual demand functions: МА rf (P1, P2, MA) МА r (P1, P2, MA) = (1 a) = a Pi MB b- P1 P2 P1; P2, MB) MB (P1, P2, MB) = (1 – ) P2 Incomes are given by the market value of endowments: MA = P1wf + Pzw B MR = Pjw + Pzwa

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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(2) Suppose persons A and B have Cobb-Douglas preferences yielding the following individual
demand functions:
МА
of (P1, P2, MA) :
МА
x (P1, P2, MA) = (1 a)
= a
Pi
P2
MB
= b
Pi
MB
(P1, P2, MB) = (1 – )
xf (P1, P2, MB)
P2
Incomes are given by the market value of endowments:
MA = P1wf + Pzw
MB = P1wf + P2w
B
Transcribed Image Text:(2) Suppose persons A and B have Cobb-Douglas preferences yielding the following individual demand functions: МА of (P1, P2, MA) : МА x (P1, P2, MA) = (1 a) = a Pi P2 MB = b Pi MB (P1, P2, MB) = (1 – ) xf (P1, P2, MB) P2 Incomes are given by the market value of endowments: MA = P1wf + Pzw MB = P1wf + P2w B
(a) Verify that aggregate net/excess demand functions z1 (P1, P2) and z2(P1, P2) satisfy Walra's
law, i.e., p121 (P1, P2) + P2z2(P1, P2) = 0 for all p1 and p2.
Transcribed Image Text:(a) Verify that aggregate net/excess demand functions z1 (P1, P2) and z2(P1, P2) satisfy Walra's law, i.e., p121 (P1, P2) + P2z2(P1, P2) = 0 for all p1 and p2.
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